A cone is 6 cm in height and its vertical angle is 54° calculate the radius of its base.


Please Help It's due soon.

Answers

Answer 1

Answer:

7cm

Step-by-step explanation:

Answer 2

The radius of the base of the cone is 4.27 cm.

The vertical angle of a cone is also known as the apex angle. The apex angle of a cone is the angle at the top of the cone, where the slant height and the two radii meet.

The formula for calculating the radius of a cone is:

tan(apex angle) = height / radius

In this case, the apex angle is 54°, the height is 6 cm, and we need to find the radius.

tan(54°) = 6 cm / radius

radius = 6 cm / tan(54°)

radius = 4.27 cm

Therefore, the radius of the base of the cone is 4.27 cm.

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Related Questions

HELP ITS MATH U CAN DO IT!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1/3

Step-by-step explanation:

1/3 x 1/3 x 1/3 = 1/27

if was negitive would be 1/-27

if 1/9^3 would be 1/729

if negitive 1/-729

400 people are asked if they drink tea

7/10 say yes and 20% of the people who say yes drink three cups a day

Answers

Answer:

56 people drink 3 cups daily

Step-by-step explanation:

What's the total number of people that drink 3 cups?

Total number of people = 400

7 / 10 were asked said yes

Number of people that said yes = (7 / 10) × 400 = 280

280 people drink tea.

20% of 280 people drink 3 cups daily, whats the number = ?

20% of 280 = ?

20 / 100 = x / 280

(20 × 280) = (100 × x)

5600 = 100x

X = 5600 / 100

X = 56 people

56 people drink 3 cups of tea daily.

Answer:

56 people drink 3 cups daily

Step-by-step explanation:

Which expression has the same value as -18 divided by -9?
-18 divided by 2
-12 divided by (-3)
-10 divided by 5
-8 divided by (-4)

Answers

Answer:

-8 divided by (-4)

Step-by-step explanation:

-18 divided by -9 is +2 and that is what you want.

-18 divided by 2 is -9, not correct.

-12 divided by (-3) is +4, not correct.

-10 divided by 5 is -2, not correct.

Leaving the correct answer: -8 divided by (-4) is +2.

Remember: a negative times a negative equals a positive.

You maintain an average balance of $1050 on your credit card which carries a 12% annual interest rate. The monthly interest payment is

Answers

Answer:

157.5

Step-by-step explanation:

please help ASAP will give brainiest :)

find the third angle of a triangle it two of the angles measure 29 degrees and 87 degrees? A) 58 B)64 C) 93 D)116

Answers

Answer:

64 degrees

Step-by-step explanation:

Angles in a triangle add up to 180

87 + 29 = 116

Final angle must be 180 - 116 = 64

Answer:

Hello,

B) 64

Step-by-step explanation:

29 + 87 + X = 180

X = 180 - 29 - 87 = 180 - 116 = 64

How can the point (12, 16) be explained? The highest point of the mountain defined by the function is 12 feet. The highest point of the mountain defined by the function is 16 feet. The width of the base of the mountain defined by the function is 12 feet. The width of the base of the mountain defined by the function is 16 feet.

Answers

Answer:

B The highest point of the mountain is defined by the function is 16 feet.

Step-by-step explanation:

Saw it somewhere

The points (12, 16) can be explained as,

The highest point of the mountain defined by the function is 16 feet.

The width of the base of the mountain defined by the function is 12 feet.

Co ordinatesWhat are co ordinates?

a group of variables that accurately depict a position. The first number on a graph represents the distance along, while the second number represents the distance up or down. For instance, the point (2,15) is located 2 units down and 15 units up.

What is Abscissa?

The "x" coordinate of a point, as represented on the horizontal line, is another name for the abscissa.

What is Ordinates?

The co ordinate that is displayed on the vertical line, commonly known as the "y" coordinate is called ordinates.

Description for the co ordinates (12, 16)

As, 12 is written first on the co ordinates, that's why  12 is showing the abscissa on the horizontal line which is the width of the base of the mountain.

While, 16 here shows the ordinates on the vertical line which is the highest point of the mountain.

To know about the geographic coordinate system, here

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Please give me the answer

Answers

Answer:

50 degrees

Step-by-step explanation:

Since the two sides have the same length of 7 cm, it is an isosceles triangle so x = (180-80) / 2 = 50

Simplify the given expression.
13 + (14a+5b)
HELP

Answers

Answer:

13 + 14a + 5b

Step-by-step explanation:

when there's a + in front of a expression

in parentheses the expression remains the same

Answer:

14a + 5b + 13

Step-by-step explanation:

Find the area and circumference of the circle shown
on the right. The radius is measured in inches.

Area =
Circumference =

Answers

Radius= 2in so that should help to get the area

Somebody help #9 geometry

Answers

Answer:

[tex]41.1units^2[/tex]

Step-by-step explanation:

[tex]A=\frac{h_{b}b }{2} \\=\frac{8*4}{2} \\=16units^2[/tex](triangle)

[tex]A=\frac{\pi r^2}{2}\\\frac{\pi 4^2}{2}\\=25.13units^2[/tex](semicircle)

Add both together

[tex]16+25.13\\=41.13units^2[/tex]

Hi!
Got a question!

The question is: Find the volume of the shape above(if youre using the app) or below ( if you are using the website ).
Thanks !!​

Answers

Answer:

404.09x cm³ (to 5 s.f.),

where x is the unknown height of the shape.

Step-by-step explanation:

Volume of the shape

= base area × height

= (large semicircle- small semicircle) × thickness of shape

Area of circle= [tex]\pi {r}^{2} [/tex]

Area of semicircle= [tex] \frac{1}{2} (\pi)( {r}^{2} )[/tex]

Diameter of small circle= 14

Radius= diameter ÷2

radius= 14 ÷2

radius = 7 cm

Area of small semicircle

[tex] = \frac{1}{2} (\pi)( {7}^{2} ) \\ = \frac{49}{2} \pi[/tex]

Radius of large semicircle

= 35 ÷2

= 17.5 cm

Area of large semicircle

[tex] = \frac{1}{2} (\pi)( {17.5}^{2} ) \\ = \frac{1225}{8} \pi[/tex]

Base area of shape

[tex] = \frac{1225}{8}\pi - \frac{49}{2} \pi \\ = \frac{1029}{8} \pi[/tex]

Since the height if the shape is not given, I'm afraid I cant help you find the volume.

Let the height of the shape be x cm.

Volume of shape= [tex] \frac{1029x}{8} \pi \: cm^{3} [/tex]

What is the area of triangle ABC? Round to the nearest square unit.


Triangle A B C is shown. The length of A C is 16, the length of C B is 8, and the length of A B is 10.


Heron’s formula: Area


8 square units

15 square units

33 square units

618 square units

Answers

The area of the triangle ABC is 33 square units

We have given that,

Triangle A B C is shown. The length of A C is 16, the length of C B is 8, and the length of A B is 10.

We have to determine the area of the triangle

What is the area of the triangle?

[tex]\text{ Area }=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

A = area

s = semi-perimeter

a = length of side a

b = length of side b

c = length of side c\text{ Area } = area

s = semi-perimeter

use the given value in the above formula we get the area of the triangle ABC is,

Therefore the correct answer is 33 square units.

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Answer:

33 square units

Step-by-step explanation:

8. Find the volume of the cylinder. Round to the
nearest tenth.
6 cm
3 cm

Answers

Answer:

339.3 cm^3

Step-by-step explanation:

V=πr2h=π·62·3≈339.29201

What is the product of 2x + y and 5x – y + 3?

Answers

Answer:

10[tex]x^{2}[/tex] + 6x + 3xy + 3y - [tex]y^{2}[/tex]

Step-by-step explanation:

(2x + y)(5x – y + 3)

=10[tex]x^{2}[/tex] - 2xy + 6x + 5xy - [tex]y^{2}[/tex] +3y

=10[tex]x^{2}[/tex] + 6x + 3xy + 3y - [tex]y^{2}[/tex]

Help please this is due in 3 hours

Answers

Answer:

B. (1,0)  (2,0)  (3,0)

C. (0,4) (0,-4) (6,0)

Step-by-step explanation:

Letter b is asking for points inside of the shaded portion, and letter c is asking for the points that make up the triangle.

Find x and y

Need done before 11:59

Answers

Answer:

Step-by-step explanation:

(3x + 6)° = 78°

3x = 72°

x = 24°

z = 180° - 78° = 102°

Answer:

x= 102

z= 24

Hope it will help you :)

The 7 dwarves only have 4 beds, so 3 dwarves sleep on the floor. How many different ways can 4 dwarves be chosen to sleep on the beds?

Answers

Answer:

whoever the smallest dwarves are

Step-by-step explanation:

the smaller you are, the more of a dwarf you are

Answer: I'm not positive but the answer may be 28

Step-by-step explanation: 7 dwarves x 4 beds = 28 possibilities

What is the value of x in the equation .5x+.08=1.68?
A.3.28
B.3.2
C. .88
D. .32

Answers

Answer:

Step-by-step explanation:

Answer:

x = 0.88/5

Step-by-step explanation:

5x+0.8=1.68

5x = 1.68 - 0.8

5x = 0.88

x = 0.88/5

Monte's Autorana is having an end-of-year clearance in which the TV ads proclaim that
all cars are sold at 5% markup over the dealer's cost. Monte has a new Exfinity for sale
for $18,970. On the Internet, you find out that this particular model has a dealer cost of
$17,500. Is Monte being honest in his advertising?

Answers

Answer:

No

Step-by-step explanation:

We first write out $17,500 as a multiplication to 5%

New price = 17500 x 1.05 = 18375  = $18,375

18375-17500 = 875

We then work out the tax on just the mark up of $875 increase

20% mark up = 875 x 0.20 = 175

18.375+175 = 18550

= $18,550 charge to be considered for 5%

However Monte would argue that tax on tax also applies to 875 x 1.20 = 1050

=$1050 and he is just asking to meet half tax costs an extra 10% of his own tax back of 17.500 x 20% that he paid = 17500 x 0.20 = 3500

tax he paid inclusive or non inclusive would be the same.

= $3500

10% of this = 3500 x 0.10 = 350  

18550+350 = 18,900

Therefore it is not dishonest if mentioned in the terms and conditions.

We also universally can round 5% up by applying other charges to include promotion costs and even apply more for administration costs.

Please give me the answer

Answers

Answer:

52

Step-by-step explanation:

sorry if it's wrong

HELP PLSS WILL GIVE BRAINLIEST
Solve N = 3rt^4 - 5rz
(solve for z)

Answers

Answer:

Step-by-step explanation:

N = 3rt^4 - 5rz

now factor r out

N = r(3t^4-5z)

divide by r on both sides

N/r = (3t^4 - 5z)

subtract (3t^4)

N/r - 3t^4 = -5z

now divide by -5 to isolate the variable (z)

[tex]\frac{(n/r)-3t^4}{-5}[/tex] = z

Answer:

(N-3rt^4) / -5r =  z

Step-by-step explanation:

N = 3rt^4 - 5rz

Subtract 3rt^4 from each side

N-3rt^4 = 3rt^4-3rt^4 - 5rz

N-3rt^4 =  - 5rz

Divide each side by -5r

(N-3rt^4) / -5r =  - 5rz/ -5r

(N-3rt^4) / -5r =  z

I need help for a project! What would the variables be defined as!?
Marvin burned 8 calories per minute on a treadmill and 10 calories
per minute on an elliptical trainer for a total of 560 calories in 60
minutes. Write and solve a system of linear equations to determine
how many minutes he spent on each machine.

Answers

2  1/5x * 1 7/10 y  *  4  3/5 x 1 7/10  (* 7 4/50)

Finds the answer  

10 6/50x  *  7  41/50y   (* 7/4/50)  = 56

79 13/100  (* 7 4/50)  = 56

560  = 56 (10x)

x = 5 6/10

7 (y) = 56 (7y)

8 = 56/7  (y)

y = 8

x = 5 6/10

6/10 of 560  = 336  

336/60 = x

336/60 = 5 6/10

what is the value of this expression 4 + 6 (4.3 + 8 )
-2.1​

Answers

Answer:

The answer is 20.2

Step-by-step explanation:

always start with the number is parentheses

Answer:75.7

Step-by-step explanation:

Help me with part B and C appease!! No clowning around whoever help me, will get 30 points and I will brainliest you!!! <3 please help!!

Answers

Answer:

Step-by-step explanation:

a.

y=0.75x

y-y1=(y2-y1)/(x2-x1)×(x-x1)

y-3=(6-3)/(8-4) (x-4)

y-3=3/4(x-4)

y-3=3/4 x-3

y=3/4 x-3+3

y=3/4 x

if y=f(x)

f(x)=0.75x

c.

f(12)=0.75×12=9$

Please help! Will give brainliest, thanks and more points.

Look at the picture.

Answers

Answer:

rectangular prism

Step-by-step explanation:

their is four sides and a top and bottom

Answer:

it's a rectangular prism and their is four sides and a top and bottom

Step-by-step explanation:

boom

PLEASE ANSWER!!!!! I WILL MARK YOUR ANSWER AS BRAINLIEST!!!!!

Answers

Answer:

3/4=0.75

Step-by-step explanation:

someone please help me!!!!

Answers

Answer:

Choice 3

Step-by-step explanation:

it’s the one that makes more sense!

Answer:

5m=3890

Step-by-step explanation:

5/3890 = 778

then check if its right

5*778 = 3890

(m=778)

This diagram shows triangles ABC and PQR. ABC is mapped to PQR by combining two single transformations. The first is a rotation of 90 degrees clockwise about C. Describe fully the second transformation.

Answers

Answer:

enlarge by -2 by centre point (3,1)

Step-by-step explanation:

Nevaeh's coffee shop starts the day with $50 in the cash register. The shop earns $25 each hour for the 8 hours it is open. Using a linear model, Nevaeh records the total amount of money, y, in dollars, in theregister xhours after the shop opens. Use this information to answer any questions that follow. What does the y-intercept of Nevaeh's model represent?

A. The amount of money in the register at the start of the day.
B. The total amount of money in the register at the end of the day.
C. The amount of money the shop earns each hour it is open.
D. The total amount of money in the register 1 hour after the shop opens.

Answers

Answer:

b

Step-by-step explanation:

Find the y-intercept of the function represented by the graph.

Answers

Answer:

sqroot(9) - 7 = -4

sqroot(10) - 7  = -3.838

sqroot(11) - 7 = -3.683

sqroot(12) - 7 = -3.536

It isd not equal to -4 but pretty close so I am thinking that B is the right choice.

Answer is B

Step-by-step explanation:

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